Effective attraction radius : A method for comparing species attractants and determining densities of flying insects

Randomization algorithms in BASIC for experimental design

Six BASIC programs for randomization of treatments with respect to space and time are presented. Program 1 is used to obtain randomization of several treatments in an equal number of positions for any number of replicates such that identical treatments are not replicated successively in the same position. Program 2 randomly assigns different treatments as specified in a grid of any size either (a) without constraints or (b) so that similar treatments do not occur next to each other either horizontally or vertically, or (c) horizontally, vertically, or diagonally. Program 3 assigns from five to 100 different treatments in equal proportions to a grid of specified size with treatments separated as in Program 2 (c) above. Program 4 randomly assigns any number of different treatments in equal proportions to a Latin square-like grid containing row and column cells with a multiple number of the treatments such that no identical treatments are replicated successively in the same row, column, or both row and column. Program 5 produces Latin squares of letters with unique numbered subscripts randomized. Program 6 makes Greco-Latin squares with an odd number of letters per side. These programs will aid in randomization of treatments within positions and replicates when a degree of uniformity or spacing of treatments is desired in order to increase the power of statistical tests. Examples of program output are discussed for tests with bark beetle pheromone components.

Basic algorithms for random sampling and treatment randomization

Five BASIC programs to select random samples from populations or to randomize treatments are presented. Program 1 is used to obtain randomization of any number of treatments in an equal number of positions or test units for any number of replicates. Program 2 produces latin squares of any size for treatment randomization. Program 3 is used to obtain a specific number of randomly selected samples from a population without replacement. Program 4 produces quasi-latin squares that have treatments repeated equally in all rows and columns, with identical treatments either spaced or not. Program 5 can be used with any size grid to place 3-100 treatments in equal proportions and with spacing of identical treatments. Both programs 4 and 5 allow for horizontal and vertical separation between identical treatments at sampling places while still retaining the quality of randomness. These programs should facilitate random sampling and randomization procedures which are required to correctly analyze experiments by the methods of statistical probability.